4284222256314 has 320 divisors, whose sum is σ = 13014473472000. Its totient is φ = 1017209508480.

The previous prime is 4284222256297. The next prime is 4284222256319. The reversal of 4284222256314 is 4136522224824.

It is a happy number.

4284222256314 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 2 + 2 + 2 + 2 + 5 + 631 + 4 = 666.

It is a super-2 number, since 2×4284222256314² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4284222256314.

It is not an unprimeable number, because it can be changed into a prime (4284222256319) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16574437 + ... + 16830935.

It is an arithmetic number, because the mean of its divisors is an integer number (40670229600).

Almost surely, 2^{4284222256314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284222256314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507236736000).

4284222256314 is an abundant number, since it is smaller than the sum of its proper divisors (8730251215686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4284222256314 is a wasteful number, since it uses less digits than its factorization.

4284222256314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256647 (or 256638 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 4284222256314 in words is "four trillion, two hundred eighty-four billion, two hundred twenty-two million, two hundred fifty-six thousand, three hundred fourteen".